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The problem asks to solve the proportion:

\[
\frac{13}{11} = \frac{6}{u}
\]

To solve for \( u \), we can use cross-multiplication:

\[
13u = 6 \times 11
\]

Simplifying the equation:

\[
13u = 66
\]

Now, solve for \( u \) by dividing both sides by 13:

\[
u = \frac{66}{13} \approx 5.08
\]

Rounded to the nearest tenth, \( u \approx 5.1 \).

Would you like more details on how cross-multiplication works, or have any other questions?

Here are 5 related questions:
1. How can you solve other proportions using cross-multiplication?
2. What happens if the equation was reversed (e.g., \( \frac{u}{13} = \frac{6}{11} \))?
3. How do you solve for \( u \) in proportions with decimals?
4. Can proportions be used to solve word problems?
5. How does rounding affect the accuracy of your answer?

**Tip:** Always double-check your rounding to ensure you're following the correct instructions (nearest tenth, hundredth, etc.).

Solve the following proportion for u: 13/11 = 6/u. Round your answer to the nearest tenth.

Learn how to solve the proportion 13/11 = 6/u using cross-multiplication. Step-by-step guide and rounding to the nearest tenth. Suitable for Grades 6-8 students.

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